Answer:
60
Step-by-step explanation:
We have to find least common denominator for these fractions or we just have to find the least common multiple for 15, 6 and 4
In order to find the least common multiple, we have to represent these numbers as factors of prime numbers:
15 = 3 * 5
6 = 2 * 3
4 = 2 * 2
Least common multiples will be common factors (considering that there are no more than of them in other numbers) and the uncommon factors. Then, we can write that:
2 * 2 * 3 * 5 = 60 (there are two 2's, one common 3 and an uncommon 5)
The denominator will be 60 for the least common multiples.
Answer:
31.525
Step-by-step explanation:
first you calculate the tip, 0.18*25 is 4.5
then you calculate the tax, 0.081*25 is 2.025
finally you add everything together, 25+4.5+2.025 is 31.525
We will say the smaller number is X and the larger number is Y
The first sentence states y=x+3 and the second sentence states 4y=6x-13
You can use substitution in this to plug in y=x+3 into 4y=6x-13 to get
4(x+3)=6x-13 now move -13 to the other side to get 4x+16=6x then move 4x to the other side to get 16=2x giving you X
X=8
Now plug in X into the equation y=x+3
y=(8)+3 giving you Y
Y=11
Now plug in both X and Y to check
4(11)=6(8)-13
44=35
An isosceles triangle is a triangle with two equal sides. Since, one of the angles is 90 degrees. Then, the 2 remaining must equal 90 because the total of the triangle should be 180 degrees. So, I think 45 degrees is the only one we can use here because 45 + 45 = 90 degrees.
